### Mathematics Permutations, Combinations and Probability MCQS Online Preparation Sample Paper Questions with Answer

Mathematics Permutations, Combinations, and Probability MCQs evaluate understanding of counting principles and likelihood calculations. These questions, commonly featured in exams such as the ECAT (Engineering College Admission Test), cover topics like permutations, combinations, and basic probability concepts. Online platforms like Nokryan.com provide extensive preparation materials, including sample papers, practice questions, and detailed answers. These resources aid students in comprehensively grasping Permutations, Combinations, and Probability, enabling them to tackle related problems with confidence and proficiency in the mathematics section of the ECAT exam.

1. 1/(n+2)(n+1)n =

**(n-1)!/(n+2)!**

correct- (n+2)!
- (n+2)!/ (n-1)!
- n!

2. The letters of the JUNE taken all at a time can be written in

- 6 Ways
- 24 Ways
**correct** - 2 Ways
- 120 Ways

3. 10.9/2.1 =

- 10!
- 1/10!
- 10!/2!8!
**correct** - 2!8!

4. The factorial of a positive integer n is n! =

- (n+1)n(n-1)(n-3)…3.2.1
- (n-1)(n-2)(n-3) … 3.2.1
- n(n-1)(n-2)(n-3) … 3.2.1
**correct** - (n-2)(n-3) … 3.2.1

5. For a negative integer n , the factorial n!

- Does not exist
**correct** - Is 0
- Is unique
- Is 1

6. 1/20.19.18.17 =

- 1/16!
- 20!/16!
- 16!/20!
**correct** - 20!

7. The factorial of a positive integer n is

- n! = n (n – 1) !
**correct** - n! = n (n – 1)! (n – 2)!
- n! = n (n – 2)!
- n! = n (n + 2)!

8. An arrangement of a finite number of objects taken some or all a time is called their

- Permutation
**correct** - Combination
- A.P
- Sequence

9. (n+2)(n+1)n=

- (n-1)!/(n+2)!
- n!
- (n+2)!/ (n-1)!
**correct**

(n+2)!

10. (n+1)n(n-1)/3.2.1 =

- 3!.(n-2)/(n+1)!
- (n -2)!
- (n+1)/3!.(n-2)
**correct** - (n+1)!

11. If n is any position integer, then

- (n+1)!=(n+1)(n-1)!
- n! = n (n + 1)!
- (n+1)! = (n+1)n!
**correct** - n! = n (n – 2)!

12. n(n-1)(n-2)(n-3)…(n-r+1)=

- n!/r!
- (n-2)!/3!n!
- n! r!
- n!/(n-r)!
**correct**

13. 1/12.11.10 =

- 1/12!
- 9!/12!
**correct** - 12!
- 12!/9!

14. n different objects can be arranged taken all at a time in

- (n + 1)! Ways
- n ! Ways
**correct** - (2n)! Ways
- (n – 1)! Ways

15. 8.7.6/3.2.1 =

- 3!.5!/8!
- 10!/2!8!
- 10!
- 8!/3!.5!
**correct**

16. 52.51.50.49/4.3.2.1 =

- 10!/2!8!
- 4!.48!/52!
- 52!/4!48!
**correct** - 52!

17. The letters of the WORD taken all at a time can be written in

- 24 Ways
**correct** - 8 Ways
- 4 Ways
- 12 Ways

18. 9.8.7.6 =

- 1
- 9!/5!
**correct** - 5!/9!
- 3!

19. 0! =

- 0
- 2
- 1
**correct** - -1

20. 6!/8! =

- 56
- 65
- 1/65
- 1/56
**correct**

21. The letters of the LAHORE taken all at a time can be written in

- 6 Ways
- 720 Ways
**correct** - 2 Ways
- 24 Ways

22. 6.5.4=

- 3!/6!
- 6 !/3 !
**correct** - 6!
- 1/6!

23. The letters of the LINE taken all at a time can be written in

- 6 Ways
- 120 Ways
- 24 Ways
**correct** - 2 Ways

24. n(n-1)/3.2.1 =

- 3!(n-2)!/n!
- n!
- (n-2)!/3!n!
- n!/3!(n-2)!
**correct**

25. 5! =

- 120
**correct** - 5
- 140
- 0